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Simplifying 4(x + -1) + -1(2 + -1x) = 10(x + -2) + 4 Reorder the terms: 4(-1 + x) + -1(2 + -1x) = 10(x + -2) + 4 (-1 * 4 + x * 4) + -1(2 + -1x) = 10(x + -2) + 4 (-4 + 4x) + -1(2 + -1x) = 10(x + -2) + 4 -4 + 4x + (2 * -1 + -1x * -1) = 10(x + -2) + 4 -4 + 4x + (-2 + 1x) = 10(x + -2) + 4 Reorder the terms: -4 + -2 + 4x + 1x = 10(x + -2) + 4 Combine like terms: -4 + -2 = -6 -6 + 4x + 1x = 10(x + -2) + 4 Combine like terms: 4x + 1x = 5x -6 + 5x = 10(x + -2) + 4 Reorder the terms: -6 + 5x = 10(-2 + x) + 4 -6 + 5x = (-2 * 10 + x * 10) + 4 -6 + 5x = (-20 + 10x) + 4 Reorder the terms: -6 + 5x = -20 + 4 + 10x Combine like terms: -20 + 4 = -16 -6 + 5x = -16 + 10x Solving -6 + 5x = -16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 5x + -10x = -16 + 10x + -10x Combine like terms: 5x + -10x = -5x -6 + -5x = -16 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -5x = -16 + 0 -6 + -5x = -16 Add '6' to each side of the equation. -6 + 6 + -5x = -16 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = -16 + 6 -5x = -16 + 6 Combine like terms: -16 + 6 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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